idk how to solve this

[snow depot]

Okay so,
The following figure shows two adjacent squares along the length of their sides a,b where a<b!! How much is the shaded part?

^I’ve tried solving 2 times and failed 🥲

[topaz tangle]

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[frail parcel]

what are you supposed to use to do this? @snow depot

[snow depot]

I’m learning new stuff, but this has been running on my mind

[frail parcel]

there is a way using the pythagorean theorem and then applying cosine law and then herons formula (nobodys doing all that work)

oh wait

there is a better method

apply pythagorean theorem twice and then use the diagonal of square thing, use heron formula after

[snow depot]

I would love to know 🧍🏾

[frail parcel]

wait a minute, let me label the points

[snow depot]

can you explain it in a written paper ? I’m Arab so most of the stuff in English is a bit hard to understand

if you can !!

[snow depot]

d written twice ?

[frail parcel]

In $\triangle$ AOD, $AD = b$ and OD = $b-a$

[obtuse tiger]

wolfqz

[frail parcel]

the point inside is O

sorry for my handwriting

[snow depot]

oh okay

[snow depot]

It’s okay

[frail parcel]

You can use pythagoras theorem (Angle ODA = 90) to find AO

Similarly, in triangle ABQ, you can use pythagoras (ABQ = 90, AB = b and BQ = a+b) to find AQ

and use diagonal of a square = side $\times \sqrt{2}$ to find OQ, then apply the herons formula

[obtuse tiger]

wolfqz

[frail parcel]

[snow depot]

I’m trying my best to understand

😭😭

f&€¥

[snow depot]

Thank you though

[next terrace]

@halcyon flax has given 1 rep to @frail parcel

[frail parcel]

i can explain the part you didnt understand

[snow depot]

if you can explain it in a written paper, it would be helpful

[frail parcel]

just a sec

[snow depot]

take all the time you need

[frail parcel]

now we know all three sides of the triangle, we can use herons formula to find the area, but i think its too much work

[snow depot]

Mashallah

[snow depot]

Thank youuu, I’ve took some time and read this 4 times

[next terrace]

@halcyon flax has given 1 rep to @frail parcel

[snow depot]

I’ll show you my fails😭

[frail parcel]

yeah, finding the area is kinda hard from here im sorry 😭

[snow depot]

This is what I did

[frail parcel]

wait a minute

thanks for the suggestion

can you wait a few mins

[snow depot]

Sure take all the time you need

[frail parcel]

is $\frac{a^2}{2}$ an incorrect answer?

[obtuse tiger]

wolfqz

[frail parcel]

i did the same method it works

[snow depot]

Idk

I did another method @frail parcel and got the same answer

[frail parcel]

yeah it works then

its the correct answer

simplifying my thing with the herons should give that answer too then

[snow depot]

Soo many ways to solve this question😭😭, but thank youu brotha

[next terrace]

@halcyon flax has given 1 rep to @frail parcel

[snow depot]

@frail parcel btw what happens if I keep saying thank you and pressing yes

Oh

That explains

[frail parcel]

lmao

if your doubt is cleared now u can close the thread

[snow depot]

Thanks !!!

[next terrace]

You're still on cooldown.

[snow depot]

+close